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Finding the Fourth Proportional to 1,107.42, 1,660.76 and 366.89

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Solution

The fourth proportional to 1,107.42, 1,660.76 and 366.89 is: 550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.42 : 1,660.76 = 366.89 : x
  2. Step 2: Convert to fraction form
    1,107.42/1,660.76 = 366.89/x
  3. Step 3: Cross multiply
    1,107.42x = 1,660.76 × 366.89
  4. Step 4: Simplify right side
    1,107.42x = 609,307.93
  5. Step 5: Solve for x
    x = 609,307.93/1,107.42
  6. Step 6: Final answer
    x = 550.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.